非局域介质中单光束高斯型孤子传输的解析解

Analytical Solution in the Gaussian Form of the Single Beam Propagating in the Strong Nonlocal Media

从光束传输满足的一般非线性薛定谔方程出发,利用强非局域介质中介质响应函数的特点,对非线性方程进行合理处理,得到光束传输满足的线性方程,使得找寻强非局域介质中光束传输的解析解成为可能.针对单高斯光的演化情况详细地给出了利用这一模型求解光束解析解的过程,使得利用叠加原理求解该介质中多光束传输,并进而实现光控制光成为可能.

We discussed that the single optical beam propagates in the nonlocal nonlinear media,which is governed by the nonlinear Schrdinger equation （NNLSE）.A new approxiamate linear model for the NNLSE is presented for the strong nonlocal media with the spatially symmetrical real response functions by use of Taylor expansion.An exact analytical solution with the single Gaussian form is obtained.